Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 The Royal Society is collaborating with JSTOR to digitize, preserve, and extend access to Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences. ® www.jstor.org Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016 Downloaded from http://rsta.royalsocietypublishing.org/ on March 1, 2016